Geometría esférica paraleletópica
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Universidad Industrial de Santander
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Norms Ф are constructed on Rn so that the closed spheres with center at G with respect to Ф are n-dimensional parallelotopes of center G. Conversely, for each n-dimensional parallelotope P a norm Ф on Rn is constructed to which P is a closed sphere. In either case Ф is the maximum of n absolute values; and in this way Chebyshev's norn becomes a particular case of Ф. The hiper-cube or measure polytope γn is defined and characterized as a locus whose points satisfy a condition.
Norms Ф are constructed on Rn so that the closed spheres with center at G with respect to Ф are n-dimensional parallelotopes of center G. Conversely, for each n-dimensional parallelotope P a norm Ф on Rn is constructed to which P is a closed sphere. In either case Ф is the maximum of n absolute values; and in this way Chebyshev's norn becomes a particular case of Ф. The hiper-cube or measure polytope γn is defined and characterized as a locus whose points satisfy a condition.